TSTP Solution File: SEU221+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU221+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:32:37 EDT 2022
% Result : Theorem 1.49s 0.56s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 10
% Syntax : Number of formulae : 81 ( 16 unt; 0 def)
% Number of atoms : 427 ( 128 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 556 ( 210 ~; 206 |; 106 &)
% ( 10 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 108 ( 91 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f490,plain,
$false,
inference(subsumption_resolution,[],[f489,f237]) ).
fof(f237,plain,
relation(sF15),
inference(subsumption_resolution,[],[f236,f145]) ).
fof(f145,plain,
function(sK4),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( relation(sK4)
& function(sK4)
& ~ one_to_one(function_inverse(sK4))
& one_to_one(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f83,f96]) ).
fof(f96,plain,
( ? [X0] :
( relation(X0)
& function(X0)
& ~ one_to_one(function_inverse(X0))
& one_to_one(X0) )
=> ( relation(sK4)
& function(sK4)
& ~ one_to_one(function_inverse(sK4))
& one_to_one(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0] :
( relation(X0)
& function(X0)
& ~ one_to_one(function_inverse(X0))
& one_to_one(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_funct_1) ).
fof(f236,plain,
( ~ function(sK4)
| relation(sF15) ),
inference(subsumption_resolution,[],[f235,f146]) ).
fof(f146,plain,
relation(sK4),
inference(cnf_transformation,[],[f97]) ).
fof(f235,plain,
( ~ relation(sK4)
| ~ function(sK4)
| relation(sF15) ),
inference(superposition,[],[f171,f203]) ).
fof(f203,plain,
function_inverse(sK4) = sF15,
introduced(function_definition,[]) ).
fof(f171,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ~ function(X0)
| ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( relation(function_inverse(X0))
& function(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f489,plain,
~ relation(sF15),
inference(subsumption_resolution,[],[f488,f204]) ).
fof(f204,plain,
~ one_to_one(sF15),
inference(definition_folding,[],[f144,f203]) ).
fof(f144,plain,
~ one_to_one(function_inverse(sK4)),
inference(cnf_transformation,[],[f97]) ).
fof(f488,plain,
( one_to_one(sF15)
| ~ relation(sF15) ),
inference(subsumption_resolution,[],[f487,f234]) ).
fof(f234,plain,
function(sF15),
inference(subsumption_resolution,[],[f233,f146]) ).
fof(f233,plain,
( function(sF15)
| ~ relation(sK4) ),
inference(subsumption_resolution,[],[f232,f145]) ).
fof(f232,plain,
( ~ function(sK4)
| function(sF15)
| ~ relation(sK4) ),
inference(superposition,[],[f170,f203]) ).
fof(f170,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f487,plain,
( ~ function(sF15)
| one_to_one(sF15)
| ~ relation(sF15) ),
inference(trivial_inequality_removal,[],[f485]) ).
fof(f485,plain,
( one_to_one(sF15)
| ~ function(sF15)
| sK2(sF15) != sK2(sF15)
| ~ relation(sF15) ),
inference(superposition,[],[f134,f475]) ).
fof(f475,plain,
sK3(sF15) = sK2(sF15),
inference(backward_demodulation,[],[f471,f474]) ).
fof(f474,plain,
apply(sK4,apply(sF15,sK2(sF15))) = sK2(sF15),
inference(subsumption_resolution,[],[f473,f204]) ).
fof(f473,plain,
( apply(sK4,apply(sF15,sK2(sF15))) = sK2(sF15)
| one_to_one(sF15) ),
inference(subsumption_resolution,[],[f472,f234]) ).
fof(f472,plain,
( ~ function(sF15)
| one_to_one(sF15)
| apply(sK4,apply(sF15,sK2(sF15))) = sK2(sF15) ),
inference(subsumption_resolution,[],[f465,f237]) ).
fof(f465,plain,
( ~ relation(sF15)
| ~ function(sF15)
| one_to_one(sF15)
| apply(sK4,apply(sF15,sK2(sF15))) = sK2(sF15) ),
inference(resolution,[],[f393,f132]) ).
fof(f132,plain,
! [X0] :
( in(sK2(X0),relation_dom(X0))
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ relation(X0)
| ( ( one_to_one(X0)
| ( sK2(X0) != sK3(X0)
& in(sK3(X0),relation_dom(X0))
& in(sK2(X0),relation_dom(X0))
& apply(X0,sK2(X0)) = apply(X0,sK3(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f91,f92]) ).
fof(f92,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> ( sK2(X0) != sK3(X0)
& in(sK3(X0),relation_dom(X0))
& in(sK2(X0),relation_dom(X0))
& apply(X0,sK2(X0)) = apply(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ~ relation(X0)
| ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ function(X0) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ~ relation(X0)
| ( ( one_to_one(X0)
| ? [X2,X1] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X2,X1] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) )
| ~ one_to_one(X0) ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ~ relation(X0)
| ( one_to_one(X0)
<=> ! [X2,X1] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ function(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ! [X2,X1] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) )
<=> one_to_one(X0) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ! [X2,X1] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 )
<=> one_to_one(X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
<=> ! [X2,X1] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f393,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| apply(sK4,apply(sF15,X0)) = X0 ),
inference(forward_demodulation,[],[f392,f203]) ).
fof(f392,plain,
! [X0] :
( apply(sK4,apply(function_inverse(sK4),X0)) = X0
| ~ in(X0,relation_dom(sF15)) ),
inference(subsumption_resolution,[],[f391,f143]) ).
fof(f143,plain,
one_to_one(sK4),
inference(cnf_transformation,[],[f97]) ).
fof(f391,plain,
! [X0] :
( ~ one_to_one(sK4)
| ~ in(X0,relation_dom(sF15))
| apply(sK4,apply(function_inverse(sK4),X0)) = X0 ),
inference(subsumption_resolution,[],[f390,f146]) ).
fof(f390,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| ~ relation(sK4)
| apply(sK4,apply(function_inverse(sK4),X0)) = X0
| ~ one_to_one(sK4) ),
inference(subsumption_resolution,[],[f385,f145]) ).
fof(f385,plain,
! [X0] :
( ~ function(sK4)
| ~ one_to_one(sK4)
| apply(sK4,apply(function_inverse(sK4),X0)) = X0
| ~ relation(sK4)
| ~ in(X0,relation_dom(sF15)) ),
inference(superposition,[],[f166,f383]) ).
fof(f383,plain,
relation_rng(sK4) = relation_dom(sF15),
inference(subsumption_resolution,[],[f382,f234]) ).
fof(f382,plain,
( relation_rng(sK4) = relation_dom(sF15)
| ~ function(sF15) ),
inference(subsumption_resolution,[],[f381,f145]) ).
fof(f381,plain,
( ~ function(sK4)
| ~ function(sF15)
| relation_rng(sK4) = relation_dom(sF15) ),
inference(subsumption_resolution,[],[f380,f143]) ).
fof(f380,plain,
( ~ one_to_one(sK4)
| ~ function(sK4)
| ~ function(sF15)
| relation_rng(sK4) = relation_dom(sF15) ),
inference(subsumption_resolution,[],[f379,f237]) ).
fof(f379,plain,
( relation_rng(sK4) = relation_dom(sF15)
| ~ relation(sF15)
| ~ one_to_one(sK4)
| ~ function(sF15)
| ~ function(sK4) ),
inference(subsumption_resolution,[],[f376,f146]) ).
fof(f376,plain,
( ~ relation(sK4)
| ~ function(sF15)
| relation_rng(sK4) = relation_dom(sF15)
| ~ one_to_one(sK4)
| ~ function(sK4)
| ~ relation(sF15) ),
inference(superposition,[],[f197,f203]) ).
fof(f197,plain,
! [X0] :
( ~ relation(function_inverse(X0))
| ~ function(function_inverse(X0))
| ~ function(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ relation(X0)
| ~ one_to_one(X0) ),
inference(equality_resolution,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ function(X1)
| relation_rng(X0) = relation_dom(X1)
| function_inverse(X0) != X1
| ~ relation(X0)
| ~ function(X0)
| ~ one_to_one(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( ( ( relation_rng(X0) = relation_dom(X1)
& ! [X2,X3] :
( ( ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| apply(X1,X3) != X2
| ~ in(X3,relation_rng(X0)) )
& sP0(X3,X2,X0,X1) ) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| relation_rng(X0) != relation_dom(X1)
| ( ( apply(X0,sK5(X0,X1)) != sK6(X0,X1)
| ~ in(sK5(X0,X1),relation_dom(X0)) )
& sK5(X0,X1) = apply(X1,sK6(X0,X1))
& in(sK6(X0,X1),relation_rng(X0)) )
| ~ sP0(sK6(X0,X1),sK5(X0,X1),X0,X1) ) ) )
| ~ relation(X0)
| ~ function(X0)
| ~ one_to_one(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f103,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ? [X4,X5] :
( ( ( apply(X0,X4) != X5
| ~ in(X4,relation_dom(X0)) )
& apply(X1,X5) = X4
& in(X5,relation_rng(X0)) )
| ~ sP0(X5,X4,X0,X1) )
=> ( ( ( apply(X0,sK5(X0,X1)) != sK6(X0,X1)
| ~ in(sK5(X0,X1),relation_dom(X0)) )
& sK5(X0,X1) = apply(X1,sK6(X0,X1))
& in(sK6(X0,X1),relation_rng(X0)) )
| ~ sP0(sK6(X0,X1),sK5(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( ( ( relation_rng(X0) = relation_dom(X1)
& ! [X2,X3] :
( ( ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| apply(X1,X3) != X2
| ~ in(X3,relation_rng(X0)) )
& sP0(X3,X2,X0,X1) ) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| relation_rng(X0) != relation_dom(X1)
| ? [X4,X5] :
( ( ( apply(X0,X4) != X5
| ~ in(X4,relation_dom(X0)) )
& apply(X1,X5) = X4
& in(X5,relation_rng(X0)) )
| ~ sP0(X5,X4,X0,X1) ) ) ) )
| ~ relation(X0)
| ~ function(X0)
| ~ one_to_one(X0) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( ( ( relation_rng(X0) = relation_dom(X1)
& ! [X2,X3] :
( ( ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| apply(X1,X3) != X2
| ~ in(X3,relation_rng(X0)) )
& sP0(X3,X2,X0,X1) ) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| relation_rng(X0) != relation_dom(X1)
| ? [X2,X3] :
( ( ( apply(X0,X2) != X3
| ~ in(X2,relation_dom(X0)) )
& apply(X1,X3) = X2
& in(X3,relation_rng(X0)) )
| ~ sP0(X3,X2,X0,X1) ) ) ) )
| ~ relation(X0)
| ~ function(X0)
| ~ one_to_one(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( ( ( relation_rng(X0) = relation_dom(X1)
& ! [X2,X3] :
( ( ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| apply(X1,X3) != X2
| ~ in(X3,relation_rng(X0)) )
& sP0(X3,X2,X0,X1) ) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| relation_rng(X0) != relation_dom(X1)
| ? [X2,X3] :
( ( ( apply(X0,X2) != X3
| ~ in(X2,relation_dom(X0)) )
& apply(X1,X3) = X2
& in(X3,relation_rng(X0)) )
| ~ sP0(X3,X2,X0,X1) ) ) ) )
| ~ relation(X0)
| ~ function(X0)
| ~ one_to_one(X0) ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( ( relation_rng(X0) = relation_dom(X1)
& ! [X2,X3] :
( ( ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| apply(X1,X3) != X2
| ~ in(X3,relation_rng(X0)) )
& sP0(X3,X2,X0,X1) ) )
<=> function_inverse(X0) = X1 ) )
| ~ relation(X0)
| ~ function(X0)
| ~ one_to_one(X0) ),
inference(definition_folding,[],[f59,f86]) ).
fof(f86,plain,
! [X3,X2,X0,X1] :
( sP0(X3,X2,X0,X1)
<=> ( apply(X0,X2) != X3
| ~ in(X2,relation_dom(X0))
| ( in(X3,relation_rng(X0))
& apply(X1,X3) = X2 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( ( relation_rng(X0) = relation_dom(X1)
& ! [X2,X3] :
( ( ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| apply(X1,X3) != X2
| ~ in(X3,relation_rng(X0)) )
& ( apply(X0,X2) != X3
| ~ in(X2,relation_dom(X0))
| ( in(X3,relation_rng(X0))
& apply(X1,X3) = X2 ) ) ) )
<=> function_inverse(X0) = X1 ) )
| ~ relation(X0)
| ~ function(X0)
| ~ one_to_one(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X3,X2] :
( ( ( in(X3,relation_rng(X0))
& apply(X1,X3) = X2 )
| apply(X0,X2) != X3
| ~ in(X2,relation_dom(X0)) )
& ( ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| ~ in(X3,relation_rng(X0))
| apply(X1,X3) != X2 ) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( ! [X3,X2] :
( ( ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
=> ( in(X3,relation_rng(X0))
& apply(X1,X3) = X2 ) )
& ( ( in(X3,relation_rng(X0))
& apply(X1,X3) = X2 )
=> ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) ) ) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 ) ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( relation_rng(X0) = relation_dom(X1)
& ! [X3,X2] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
=> ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
=> ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) ) ) )
<=> function_inverse(X0) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1) ).
fof(f166,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| apply(X1,apply(function_inverse(X1),X0)) = X0
| ~ function(X1)
| ~ one_to_one(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| ~ one_to_one(X1)
| ( apply(X1,apply(function_inverse(X1),X0)) = X0
& apply(relation_composition(function_inverse(X1),X1),X0) = X0 )
| ~ function(X1) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ( apply(X1,apply(function_inverse(X1),X0)) = X0
& apply(relation_composition(function_inverse(X1),X1),X0) = X0 )
| ~ one_to_one(X1)
| ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(X1)
& in(X0,relation_rng(X1)) )
=> ( apply(X1,apply(function_inverse(X1),X0)) = X0
& apply(relation_composition(function_inverse(X1),X1),X0) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1) ).
fof(f471,plain,
sK3(sF15) = apply(sK4,apply(sF15,sK2(sF15))),
inference(forward_demodulation,[],[f470,f356]) ).
fof(f356,plain,
apply(sF15,sK3(sF15)) = apply(sF15,sK2(sF15)),
inference(subsumption_resolution,[],[f355,f237]) ).
fof(f355,plain,
( ~ relation(sF15)
| apply(sF15,sK3(sF15)) = apply(sF15,sK2(sF15)) ),
inference(subsumption_resolution,[],[f354,f234]) ).
fof(f354,plain,
( ~ function(sF15)
| apply(sF15,sK3(sF15)) = apply(sF15,sK2(sF15))
| ~ relation(sF15) ),
inference(resolution,[],[f131,f204]) ).
fof(f131,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| apply(X0,sK2(X0)) = apply(X0,sK3(X0))
| ~ function(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f470,plain,
sK3(sF15) = apply(sK4,apply(sF15,sK3(sF15))),
inference(subsumption_resolution,[],[f469,f204]) ).
fof(f469,plain,
( sK3(sF15) = apply(sK4,apply(sF15,sK3(sF15)))
| one_to_one(sF15) ),
inference(subsumption_resolution,[],[f468,f234]) ).
fof(f468,plain,
( ~ function(sF15)
| one_to_one(sF15)
| sK3(sF15) = apply(sK4,apply(sF15,sK3(sF15))) ),
inference(subsumption_resolution,[],[f466,f237]) ).
fof(f466,plain,
( ~ relation(sF15)
| one_to_one(sF15)
| ~ function(sF15)
| sK3(sF15) = apply(sK4,apply(sF15,sK3(sF15))) ),
inference(resolution,[],[f393,f133]) ).
fof(f133,plain,
! [X0] :
( in(sK3(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f134,plain,
! [X0] :
( sK2(X0) != sK3(X0)
| ~ function(X0)
| one_to_one(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU221+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:51:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (27959)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (27958)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (27958)Instruction limit reached!
% 0.19/0.50 % (27958)------------------------------
% 0.19/0.50 % (27958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (27958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (27958)Termination reason: Unknown
% 0.19/0.51 % (27958)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (27958)Memory used [KB]: 895
% 0.19/0.51 % (27958)Time elapsed: 0.002 s
% 0.19/0.51 % (27958)Instructions burned: 2 (million)
% 0.19/0.51 % (27958)------------------------------
% 0.19/0.51 % (27958)------------------------------
% 0.19/0.51 % (27962)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (27960)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (27950)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (27972)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (27955)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (27965)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 % (27967)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (27975)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (27951)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (27973)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (27963)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (27964)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (27957)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (27971)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (27951)Refutation not found, incomplete strategy% (27951)------------------------------
% 0.19/0.52 % (27951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27954)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (27957)Instruction limit reached!
% 0.19/0.52 % (27957)------------------------------
% 0.19/0.52 % (27957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27957)Termination reason: Unknown
% 0.19/0.52 % (27957)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (27957)Memory used [KB]: 5500
% 0.19/0.52 % (27957)Time elapsed: 0.133 s
% 0.19/0.52 % (27957)Instructions burned: 7 (million)
% 0.19/0.52 % (27957)------------------------------
% 0.19/0.52 % (27957)------------------------------
% 0.19/0.52 % (27951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27951)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52 % (27952)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52
% 0.19/0.52 % (27951)Memory used [KB]: 5500
% 0.19/0.52 % (27951)Time elapsed: 0.118 s
% 0.19/0.52 % (27951)Instructions burned: 5 (million)
% 0.19/0.52 % (27951)------------------------------
% 0.19/0.52 % (27951)------------------------------
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (27974)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (27956)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (27953)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (27969)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (27961)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (27977)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (27978)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (27979)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (27976)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.49/0.54 % (27970)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.49/0.55 % (27965)First to succeed.
% 1.49/0.55 % (27968)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.55 % (27966)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.49/0.55 TRYING [1]
% 1.49/0.55 TRYING [2]
% 1.49/0.55 TRYING [3]
% 1.49/0.56 % (27965)Refutation found. Thanks to Tanya!
% 1.49/0.56 % SZS status Theorem for theBenchmark
% 1.49/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.56 % (27965)------------------------------
% 1.49/0.56 % (27965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (27965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (27965)Termination reason: Refutation
% 1.49/0.56
% 1.49/0.56 % (27965)Memory used [KB]: 1279
% 1.49/0.56 % (27965)Time elapsed: 0.160 s
% 1.49/0.56 % (27965)Instructions burned: 15 (million)
% 1.49/0.56 % (27965)------------------------------
% 1.49/0.56 % (27965)------------------------------
% 1.49/0.56 % (27949)Success in time 0.205 s
%------------------------------------------------------------------------------